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3 years ago

QUESTION 2, Saturday, October 10th, 2020

Mathematics

2 answers:

anastassius [24]3 years ago

7 0

Answer:

Not congruent

Step-by-step explanation:

3 angles are congruent but no evidence of any of sides being congruent, the triangles can still be different

So the answer is <u>Not congruent</u>

nasty-shy [4]3 years ago

3 0

Answer:

SSA

Step-by-step explanation:

You might be interested in

The circumference of a circle is 32π. What is the diameter of this circle?

lawyer [7]

C = 2 (pi) r

32 (pi) = c

32 (pi)= 2 (pi) r

r= 16

2r = d
d= 32

hope that helps

4 0

4 years ago

A box has two balls, one white and one red. We select one ball, put it back in the box, and select a second ball (sampling with

AleksAgata [21]

Answer:

P (T) = 1/4

P ( T | F ) = 1/2 = P(F)

The events are not independent.

Step-by-step explanation:

Let F the event of picking the white ball first

P (F)= 1/2 ( picking the white ball first)

Let T be the event of getting the white ball twice,

P (T) = P( getting white ball) * P( getting white ball)

=( 1/2)*(1/2)

= 1/4

Here P(T∩F) = P(T) because the probability of getting the white balls is the same as probability of getting the white ball first both the times.

P ( T | F ) = P (T∩F)/ P(F)

= (1/4)/ (1/2)

= (1/2)

= 1/2 = P(F)

For the events to be independent the conditional probability P ( T | F ) must be equal to P(T).

Hence the events are not independent.

4 0

3 years ago

What is the slope of the line tangent to the curve y+2=x22−2siny at the point(2,0)

Kobotan [32]

Answer:

Step-by-step explanation:

hello :

y+2=x²−2siny

calculate y' : y' = 2x -2y'cosy

when x= 2 and y=0 ( at the point(2,0) ) y' is the slope :

y' = 2(2)-2y'cos0 but cos0 =1

y' = 4 -2y'

3y' =4

so : y' = 4/3

3 0

3 years ago

What is the equation of a parabola with (−2, 4) as its focus and y = 6 as its directrix? Enter the equation in the box.

SOVA2 [1]

Notice the picture below

the directrix is above the focus point, meaning the parabola is vertical and is opening downwards

now, "p" is the distance from the vertex to the focus point or the directrix, so that means, the vertex is between those two fellows, over the axis of symmetry, x = -2, since "p" is 1 unit, that puts the vertex at -2,5

since the parabola is opening downwards, that means the "p" value is negative, so is -1

$\bf \textit{parabola vertex form with focus point distance}\\\\
\begin{array}{llll}
(y-{{ k}})^2=4{{ p}}(x-{{ h}}) \\\\
\boxed{(x-{{ h}})^2=4{{ p}}(y-{{ k}}) }\\
\end{array}
\qquad 
\begin{array}{llll}
vertex\ ({{ h}},{{ k}})\\\\
{{ p}}=\textit{distance from vertex to }\\
\qquad \textit{ focus or directrix}
\end{array}\\\\
-----------------------------\\\\$

$\bf \begin{cases}
p=-1\\
h=-2\\
k=5
\end{cases}\implies (x-(-2))^2=4(-1)(y-5)
\\\\\\
(x+2)^2=-4(y-5)\implies 
-\cfrac{1}{4}(x+2)^2=y-5
\\\\\\
\boxed{-\cfrac{1}{4}(x+2)^2+5=y}$

4 0

3 years ago

Please Hurry) Consider the quadratic equation 3x^2 - 6 = 2x. A) What is the value of the discrimination? B) What does the discri

Levart [38]

Answer:

A. 76

B. We will get two real solutions for the equation.

Step-by-step explanation:

For any quadratic equation ax²+bx+c=0, the discriminant is b²-4ac.

In 3x²-2x-6=0, a=3, b=-2 and c=-6:

b²-4ac

(-2)²-4(3)(-6)=4+72=76

When the discriminate is positive we get two real solutions to the equation, when it's zero we get one real solution, and when it's negative we get two complex solutions. Since our discriminate, 76, is positive, we know that we will get two real solutions to 3x²-6=2x.

3 0

3 years ago